EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Real Numbers
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Find the product of LCM and HCF of
{6,4}
(i)
25
(ii)
21
(iii)
24
(iv)
27
(v)
23
Question
2
2.
Express
5759
10000
as a decimal correct to 4 decimal places
(i)
0.5759
(ii)
0.0576
(iii)
0.3759
(iv)
5.759
(v)
0.6759
Question
3
3.
Simplify the expression
(
5/3
)
(
-2
5
)
✕
(
5/3
)
(
-2
5
)
(i)
(
10/3
)
(
-4
5
)
(ii)
(
16/5
)
(
-2
5
)
(iii)
4
(
-2
5
)
(iv)
(
10/3
)
(
-2
5
)
Question
4
4.
log
10000
100000
=
(i)
9.25
(ii)
3.25
(iii)
0.25
(iv)
2.25
(v)
1.25
Question
5
5.
Find the LCM of
{15,14,6,16}
(i)
1681
(ii)
1679
(iii)
1682
(iv)
1678
(v)
1680
Question
6
6.
The logarithmic notation of
9
3
=
729
is
(i)
log
9
729
2
=
3
(ii)
log
6
726
=
3
(iii)
log
9
728
=
3
(iv)
log
9
732
=
3
(v)
log
9
729
=
3
Question
7
7.
log
1
−
log
1
=
(i)
log
1
(ii)
log
3
-3
(iii)
log
2
-3
(iv)
log
(-1)
-3
Question
8
8.
log
6
8
54
7
=
(i)
6
log
6
8
54
(ii)
7
log
6
8
54
(iii)
8
log
6
8
54
(iv)
7
log
6
8
57
(v)
log
4
8
52
7
Question
9
9.
If
log
2
x
=
p
and
log
2
y
=
q
, then
x
y
=
(i)
2
2
p
q
(ii)
2
(
p
+
q
)
(iii)
2
p
q
(iv)
2
(
p
−
q
)
Question
10
10.
log
29
100
−
log
25
38
=
(i)
log
553
1250
(ii)
log
551
1250
(iii)
log
2
(
551
1250
)
(iv)
log
549
1250
(v)
log
551
1248
Question
11
11.
Find the exponential notation of
8
3
✕
8
3
✕
8
3
✕
8
3
(i)
5
(
8
3
)
(ii)
4
(
10
3
)
(iii)
3
(
8
3
)
(iv)
4
(
8
3
)
(v)
2
4
Question
12
12.
log
37
−
log
11
=
(i)
log
37
9
(ii)
log
35
11
(iii)
log
37
11
(iv)
log
2
(
37
11
)
(v)
log
39
11
Question
13
13.
The
base
in the term
2
(
9
5
)
is
(i)
7
5
(ii)
-2
(iii)
2
(iv)
9
5
(v)
(
-9
5
)
Question
14
14.
log
25
125
=
(i)
2.5
(ii)
0.5
(iii)
9.5
(iv)
3.5
(v)
1.5
Question
15
15.
Simplify the expression
(
-5
4
)
6
✕
(
-7
3
)
6
✕
(
-9
8
)
6
(i)
(
-113
24
)
3
(ii)
(
-113
24
)
8
(iii)
(
-121
26
)
6
(iv)
(
-113
24
)
6
(v)
(
-105
22
)
6
Question
16
16.
Which of the following is true?
a)
14.0000
−
(
12.9800
✕
13.5200
)
=
(
14.0000
−
12.9800
)
✕
(
14.0000
−
13.5200
)
b)
12.9800
÷
(
13.5200
+
16.5100
)
=
(
12.9800
÷
13.5200
)
+
(
12.9800
÷
16.5100
)
c)
16.5100
✕
(
14.0000
−
12.9800
)
=
(
16.5100
✕
14.0000
)
−
(
16.5100
✕
12.9800
)
d)
13.5200
✕
(
16.5100
+
14.0000
)
=
(
13.5200
✕
16.5100
)
+
(
13.5200
✕
14.0000
)
(i)
{c,d}
(ii)
{b,d}
(iii)
{a,b,c}
(iv)
{a,d,c}
(v)
{a,c}
Question
17
17.
Find the HCF of
{15,48}
(i)
0
(ii)
6
(iii)
2
(iv)
3
(v)
4
Question
18
18.
Find the periodicity of the recurring decimal
11.
238095
(i)
238095
(ii)
5
(iii)
7
(iv)
6
(v)
4
Question
19
19.
2.11 =
(i)
211
1000
(ii)
211
10
(iii)
211
10000
(iv)
211
100
(v)
211
Question
20
20.
log
3
10
+
log
3
4
=
(i)
log
3
11
(ii)
log
3
13
(iii)
log
3
14
(iv)
log
3
15
(v)
log
6
14
Question
21
21.
Find the value of
x
if
log
x
1
16
=
-2
(i)
4
(ii)
5
(iii)
2
(iv)
6
(v)
3
Question
22
22.
log
1000
10000
=
(i)
2.3333
(ii)
0.3333
(iii)
3.3333
(iv)
1.3333
(v)
9.3333
Question
23
23.
log
31.0000
+
log
57.0000
=
(i)
log
1766.0000
(ii)
log
1769.0000
(iii)
log
1767.0000
(iv)
log
1765.0000
(v)
log
1768.0000
Question
24
24.
The recurring part of the decimal
5.38888888888888...
is
(i)
5.38
(ii)
8
(iii)
838
(iv)
885
(v)
88
Question
25
25.
17.48 =
(i)
437
250
(ii)
874
5
(iii)
437
25
(iv)
1748
(v)
437
2500
Assignment Key
1) (iii)
2) (i)
3) (iv)
4) (v)
5) (v)
6) (v)
7) (i)
8) (ii)
9) (iv)
10) (ii)
11) (iv)
12) (iii)
13) (iv)
14) (v)
15) (iv)
16) (i)
17) (iv)
18) (iv)
19) (iv)
20) (iii)
21) (i)
22) (iv)
23) (iii)
24) (ii)
25) (iii)
